We want to find the value of t when f(t)=1000000. Substituting this into the equation and solving for t, we get:
1000000 = 200t^2
Dividing both sides by 200:
5000 = t^2
Taking the square root of both sides:
t = ±sqrt(5000)
Since time cannot be negative, we take the positive value:
t ≈ 70.71
Therefore, the number of daily hits will reach 1,000,000 on approximately the 71st day after the song went viral.
A new song has gone viral on the Internet. The website hosting the song uses the function \large f\left(t\right)=200t^2 to represent the number of daily hits over time, where t is time in days. Use the function to predict the day on which the number of daily hits reaches 1,000,000. Show all work to receive credit for this question.
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